72053604 has 96 divisors (see below), whose sum is σ = 215040000. Its totient is φ = 20437920.

The previous prime is 72053593. The next prime is 72053617. The reversal of 72053604 is 40635027.

It is a happy number.

72053604 is a `hidden beast` number, since 7 + 2 + 0 + 53 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144147 + ... + 144645.

It is an arithmetic number, because the mean of its divisors is an integer number (2240000).

Almost surely, 2^72053604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72053604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107520000).

72053604 is an abundant number, since it is smaller than the sum of its proper divisors (142986396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72053604 is a wasteful number, since it uses less digits than its factorization.

72053604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 72053604 is about 8488.4394325459. The cubic root of 72053604 is about 416.1199804936.

The spelling of 72053604 in words is "seventy-two million, fifty-three thousand, six hundred four".